Analysis Of Large-scale Systems Research Articles

Comments on Papers Presented to Session 27 Large-Scale Systems Analysis

Comments on Papers Presented to Session 27 Large-Scale Systems Analysis

Computer Methods in the Analysis of Large-Scale Social Systems. A Publication of the Joint Center for Urban Studies of the Massachusetts Institute of Technology and Harvard University. Edited by James M. Beshers. Second Edition. Cambridge (Mass.), London, The Massachusetts Institute of Technology Press, 1968, VII p. 266 p.

Computer Methods in the Analysis of Large-Scale Social Systems. A Publication of the Joint Center for Urban Studies of the Massachusetts Institute of Technology and Harvard University. Edited by James M. Beshers. Second Edition. Cambridge (Mass.), London, The Massachusetts Institute of Technology Press, 1968, VII p. 266 p. - Volume 37 Issue 4

Analysis of discontinuous large-scale systems: stability, transient behaviour and trajectory bounds

The trajectory bounds of simple and large-scale interconnected discontinuous systems are treated within a stability framework. In doing so, stability is defined in terms of pre-specified subsets of the state space over an infinite time interval (practical stability) and over a finite time interval (finite time stability). The discontinuous systems considered are those which are described by ordinary discontinuous differential equations which may be autonomous or non-autonomous, linear or non-linear, unforced or under the influence of persistent disturbances, simple or interconnected. In all cases it is assumed that the differential equation possesses solutions in the sense of Filippov. The results obtained yield sufficient conditions for practical and finite time stability. The interconnected systems are treated in terms of their subsystems. In order to demonstrate the methods involved, some examples are considered.

Nonlinear circuit theory: Resistive networks

The impact of computers on circuit analysis and design and the advent of new electronic devices and integrated circuits have generated much interest in nonlinear circuit theory. Recent successes in the analysis of large-scale systems using network models have further enhanced the importance of the subject. A key to the understanding and analysis of nonlinear circuits is the study of nonlinear resistive networks both in theory and in computation. In the study of nonlinear resistive networks it is necessary to know the global properties of nonlinear functions. Thus Palais' global inverse function theorem is of paramount importance. In addition, a global implicit function theorem is often needed. The latter is given in this paper. We apply the global theorems to derive results on nonlinear networks with unique solutions and with multiple solutions. The theory obtained for networks with multiple solutions can be used to analyze and design bistable circuits. In computation, we extend Katzenelson's piecewise-linear analysis to general nonlinear resistive networks. For networks which have a unique solution under all possible inputs, the method converges in a finite number of steps. In addition, we present an efficient method of computing input-output characteristics of networks with single or multiple solutions.

Computer Methods in the Analysis of Large-Scale Social Systems. J.M. Beshers, editor. Proceedings of a Conference Held at the Joint Center for Urban Studies of the Massachusetts Institute of Technology and Harvard University in Cambridge, Massachusetts on October 19-21, 1964. Cambrige, Mass., Joint Center for Urban Studies of the Massachusetts Institute of Technology and Harvard University, 1965, IV p. 207

Computer Methods in the Analysis of Large-Scale Social Systems. J.M. Beshers, editor. Proceedings of a Conference Held at the Joint Center for Urban Studies of the Massachusetts Institute of Technology and Harvard University in Cambridge, Massachusetts on October 19-21, 1964. Cambrige, Mass., Joint Center for Urban Studies of the Massachusetts Institute of Technology and Harvard University, 1965, IV p. 207

Computer Methods in the Analysis of Large-Scale Social Systems.

Computer Methods in the Analysis of Large-Scale Social Systems.

Simulation for RADAS

Seven computer simulation programs, developed to analyze a random access discrete address communications system, are discussed. Particular emphasis is placed upon four of the programs, which performed such functions as analysis of communications requirements, evaluation of mutual interference, evaluation of the adequacy of range extension equipment, and analysis of the overall system concept. The basic design of each program is discussed with attention to the situation modeled, the parametric input variations permitted, and the outputs provided. The development and use of these programs illustrates the significant contribution simulation can make in the analysis and design of large-scale communications systems.

Computer Methods in the Analysis of Large-Scale Social Systems.

Computer Methods in the Analysis of Large-Scale Social Systems.